DiPerna–Lions Flow for Relativistic Particles in an Electromagnetic Field

P. E. Jabin, N. Masmoudi

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We show the existence and uniqueness of a DiPerna–Lions flow for relativistic particles subject to a Lorentz force in an electromagnetic field. The electric and magnetic fields solve the linear Maxwell system in the vacuum but for singular initial conditions which are only in the physical energy space. As the corresponding force field is only in L2, we have to perform a careful analysis of the cancellations over a trajectory.

Original languageEnglish (US)
Pages (from-to)1029-1067
Number of pages39
JournalArchive for Rational Mechanics and Analysis
Volume217
Issue number3
DOIs
StatePublished - Sep 17 2015

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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